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A221032 Majority value maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..2 nX5 array.

%I A221032 #6 Jul 23 2025 01:38:26
%S A221032 12,457,14277,419506,12239631,356411031,10373626389,301896920812,
%T A221032 8785647712335,255673459067107,7440407252788968,216524761820591729,
%U A221032 6301129172106645040,183370379451163145156,5336296861965965103306
%N A221032 Majority value maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..2 nX5 array.
%C A221032 Column 5 of A221035
%H A221032 R. H. Hardin, <a href="/A221032/b221032.txt">Table of n, a(n) for n = 1..104</a>
%F A221032 Empirical: a(n) = 68*a(n-1) -1822*a(n-2) +27547*a(n-3) -272852*a(n-4) +1918678*a(n-5) -10038025*a(n-6) +40128709*a(n-7) -124183787*a(n-8) +298025391*a(n-9) -548633708*a(n-10) +750796914*a(n-11) -705582380*a(n-12) +354260143*a(n-13) +14095215*a(n-14) +79575304*a(n-15) -761514246*a(n-16) +1481099928*a(n-17) -1471900372*a(n-18) +606133206*a(n-19) +406829334*a(n-20) -787855272*a(n-21) +480146240*a(n-22) -35768060*a(n-23) -108927108*a(n-24) +442396*a(n-25) +104024712*a(n-26) -98101144*a(n-27) +46460464*a(n-28) -15969760*a(n-29) +8560160*a(n-30) -5517056*a(n-31) +2030976*a(n-32) -268288*a(n-33) -29696*a(n-34) +8192*a(n-35) for n>41
%e A221032 Some solutions for n=3
%e A221032 ..1..1..1..1..0....0..0..1..0..1....1..0..0..0..1....0..0..0..0..1
%e A221032 ..0..0..1..1..1....0..0..1..1..0....0..1..0..1..1....0..1..1..1..0
%e A221032 ..1..0..1..1..0....1..1..1..0..1....0..0..1..0..0....0..0..1..0..0
%K A221032 nonn
%O A221032 1,1
%A A221032 _R. H. Hardin_ Dec 29 2012